Find the total number of eight-digit numbers the sum of whose digits is odd if:
i) The digits may repeat
ii) The digits are unrepeated
a) i) 4 × 5⁷, ii) 5 × 4 × 7 × 6 × 5 × 4 × 3 × 2
b) i) 5⁸, ii) 8!
c) i) 4 × 5⁷, ii) 8!
d) i) 5⁸, ii) 5 × 4 × 7 × 6 × 5 × 4 × 3 × 2
